What is the Least Common Multiple of 95152 and 95159?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 95152 and 95159 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95152 and 95159, than apply into the LCM equation.

GCF(95152,95159) = 1
LCM(95152,95159) = ( 95152 × 95159) / 1
LCM(95152,95159) = 9054569168 / 1
LCM(95152,95159) = 9054569168

Least Common Multiple (LCM) of 95152 and 95159 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95152 and 95159. First we will calculate the prime factors of 95152 and 95159.

Prime Factorization of 95152

Prime Factorization of 95159

Now multiplying the highest exponent prime factors to calculate the LCM of 95152 and 95159.

LCM(95152,95159) = 2⁴ × 19¹ × 313¹ × 43¹ × 2213¹
LCM(95152,95159) = 9054569168